Answer:THE FIRST ONE
Step-by-step explanation:
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<span>D. Regular polygon.
</span>A polygon that has all sides the same measure and all angles the same measure is called Regular polygon.
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Answer:
Take x = 10.2 in. or x = 10 in.
Step-by-step explanation:
Given :
Length = (2x+3) in.
Breadth = x in.
Also, the Area of Rectangle = 240 sq in.
We know that,
Area of Rectangle = length x breadth
240 = (2x+3) x
2x² + 3x = 240
2x² + 3x - 240 = 0
Solving 2x²+3x-240 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B²-4AC
x = ————————
2A
In our case, A = 2
B = 3
C = -240
Accordingly, B² - 4AC = 9 - (-1920) = 1929
Applying the quadratic formula :
-3 ± √ 1929
x = ——————
4
√ 1929 , rounded to 4 decimal digits, is 43.9204
So now we are looking at:
x = ( -3 ± 43.920 ) / 4
Two real solutions:
x =(-3+√1929)/4=10.230 ≈ 10
or
x =(-3-√1929)/4=-11.730
We'll take x = +ve value for calculation of length and breadth.
Therefore,
Length = [2(10.2) + 3 ]
L = 23.4 in.
Breadth = 10.2 in.
OR
Length = [2(10) + 3]
L = 23 in.
Breadth = 10 in.
Answer:
( f + g )( x ) = 8x - 3
Step-by-step explanation:
What this is saying is to add the two functions together.
( 5x+1 ) + ( 3x - 4 )
( f + g )( x ) = 8x - 3 is the simplified version.
Step-by-step explanation:
No of pieces John has = 240
No of pieces Stephen has = twice of Johns sweet = 240 x 2 = 480
No of pieces John Sister has = half of John's sweet = 240 ÷ 2 = 120
Total sweets = 240 + 480 + 120 = 840
